A new trajectory approximation technique for transient stability studies

M. A. Pai, P. W. Sauer, F. Dobraca

Research output: Contribution to journalArticlepeer-review


In many studies involving dynamic models of power systems, fast simulation is needed such as in using direct methods of stability analysis where a number of contingencies have to be simulated in a very short time. In this paper we propose a method which uses piecewise linearization of the nonlinearities combined with trapezoidal integration of the differential equation to approximate the trajectory of a multimachine system with classical model representation. The technique is illustrated for faults on a 3- and 10-machine system and the computational savings are discussed with respect to a fourth-order Runge-Kutta method.

Original languageEnglish (US)
Pages (from-to)249-254
Number of pages6
JournalInternational Journal of Electrical Power and Energy Systems
Issue number5
StatePublished - Oct 1991


  • direct methods
  • power system dynamic simulation
  • trajectory approximation

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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